Question

Tell whether the ordered pair is a solution of the system of liner equation (3,2)x+y=5 y-2x=-4

Answer 1

Given:

The two linear equations are:

$x+y=5$

$y-2x=-4$

To find:

Whether the ordered pair (3,2) is a solution of the given system of liner equations.

Solution:

We have,

$x+y=5$          ...(i)

$y-2x=-4$        ...(ii)

If both the equations are satisfy by the point (3,2), then this point is the solution of the given system of equations.

Putting $x=3,y=2$ in (i), we get

$3+2=5$

$5=5$

This statement is true. It means the point (3,2) satisfies the equation (i).

Putting $x=3,y=2$ in (ii), we get

$2-2(3)=-4$

$2-6=-4$

$-4=-4$

This statement is true. It means the point (3,2) satisfies the equation (ii).

Since both the equations are satisfy by the point (3,2), therefore the point (3,2) is the solution of the given system of equations.